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arXiv · 1312.0418

Stability of continuous-time quantum filters with measurement imperfections

Hadis Amini·Clement Pellegrini·Pierre Rouchon
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Abstract

The fidelity between the state of a continuously observed quantum system and the state of its associated quantum filter, is shown to be always a submartingale. The observed system is assumed to be governed by a continuous-time Stochastic Master Equation (SME), driven simultaneously by Wiener and Poisson processes and that takes into account incompleteness and errors in measurements. This stability result is the continuous-time counterpart of a similar stability result already established for discrete-time quantum systems and where the measurement imperfections are modeled by a left stochastic matrix.

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Hadis Amini, Clement Pellegrini, Pierre Rouchon. 2013-12-02. Stability of continuous-time quantum filters with measurement imperfections. https://doi.org/10.1134/s1061920814030029

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